Modified block symmetric SOR preconditioners for large sparse saddle-point problems

摘要

In this paper, based on the preconditioners presented by Wang [On hybrid preconditioning methods for large sparse saddle-point problems, Linear Algebra Appl., 434 (2011) 2353-2366], we introduce and study the block symmetric SOR (BSSOR) and the modified block symmetric SOR (MBSSOR) preconditioners for the block traingular product approximation to a 2-by-2 block matrix and these preconditioners are the generalization of BSGS and MBSGS preconditioners presented by Wang. Moreover, we analyse the properties of the corresponding preconditioned matrices.